Numerical Modeling of Orthogonal Cutting: Application to Woodworking with a Bench Plane

A numerical model for orthogonal cutting using the material point method (MPM) was applied to woodcutting using a bench plane. The cutting process was modeled by accounting for surface energy associated with wood fracture toughness for crack growth parallel to the grain. By using damping to deal with dynamic crack propagation and modeling all contact between wood and the plane, simulations could initiate chip formation and proceed into steady-state chip propagation including chip curling. Once steady state conditions were achieved, the cutting forces became constant and could be determined as a function of various simulation variables. The modeling details included a cutting tool, the tool’s rake and grinding angles, a chip breaker, a base plate, and a mouth opening between the base plate and the tool. The wood was modeled as an anisotropic elastic-plastic material. The simulations were verified by comparison to an analytical model and then used to conduct virtual experiments on wood planing. The virtual experiments showed interactions between depth of cut, chip breaker location, and mouth opening. Additional simulations investigated the role of tool grinding angle, tool sharpness, and friction.